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Finding the Third Proportional to 178,258 and 267,422

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Solution

The third proportional to 178,258 and 267,422 is: 401,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258 : 267,422 = 267,422 : x
  2. Step 2: Convert to fraction form
    178,258/267,422 = 267,422/x
  3. Step 3: Cross multiply
    178,258x = 267,422 × 267,422
  4. Step 4: Simplify right side
    178,258x = 71,514,526,084
  5. Step 5: Solve for x
    x = 71,514,526,084/178,258
  6. Step 6: Final answer
    x = 401,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.